If one zero of quadratic polynomial x2 – x – k is the square of other, then find k​

Question

If one zero of quadratic polynomial x2 – x – k is the square of other, then find k​

in progress 0
Reagan 1 month 2021-10-19T01:27:47+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-19T01:29:22+00:00

    Answer:

    Step-by-step explanation:

    given,

    x^2-x-k = polynomial

    let the roots be a,b

    given,

    a=b^2

    sum of roots= -b/a

    a +a^2 =1

    a^2+a-1=0

    a= (-1+(5)^1/2)/2 , -1-(5)^1/2/2

    as a has 2 values product of roots is( -1)^2 -5/4

    so k is 1-5/4 is -1

Leave an answer

Browse

14:4+1-6*5-7*14:3+5 = ? ( )